A twisted quantum toroidal algebra

被引:1
|
作者
Jing, Naihuan [1 ,2 ]
Liu, Rongjia [1 ]
机构
[1] S China Univ Technol, Sch Sci, Guangzhou 510640, Guangdong, Peoples R China
[2] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
关键词
Vertex operator; toroidal algebra; quantum algebra; VERTEX REPRESENTATIONS;
D O I
10.1007/s11464-013-0316-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
As an analog of the quantum TKK algebra, a twisted quantum toroidal algebra of type A (1) is introduced. Explicit realization of the new quantum TKK algebra is constructed with the help of twisted quantum vertex operators over a Fock space.
引用
收藏
页码:1117 / 1128
页数:12
相关论文
共 50 条
  • [1] A twisted quantum toroidal algebra
    Naihuan Jing
    Rongjia Liu
    Frontiers of Mathematics in China, 2013, 8 : 1117 - 1128
  • [2] Algebra and twisted algebra in toroidal target space
    Tanimura, S
    MODERN PHYSICS LETTERS A, 1996, 11 (14) : 1161 - 1168
  • [3] On Integrable Modules for the Twisted Full Toroidal Lie Algebra
    Batra, Punita
    Rao, Senapathi Eswara
    JOURNAL OF LIE THEORY, 2018, 28 (01) : 79 - 105
  • [4] A note on quiver quantum toroidal algebra
    Noshita, Go
    Watanabe, Akimi
    JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (05)
  • [5] Fermion Representation of Quantum Toroidal Algebra
    蔡立强
    王丽芳
    吴可
    杨洁
    Communications in Theoretical Physics, 2014, 61 (04) : 403 - 408
  • [6] Fermion Representation of Quantum Toroidal Algebra
    Cai Li-Qiang
    Wang Li-Fang
    Wu Ke
    Yang Jie
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 61 (04) : 403 - 408
  • [7] A note on quiver quantum toroidal algebra
    Go Noshita
    Akimi Watanabe
    Journal of High Energy Physics, 2022
  • [8] On quantum toroidal algebra of type A1
    Chen, Fulin
    Jing, Naihuan
    Kong, Fei
    Tan, Shaobin
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (01)
  • [9] The R-matrix of the quantum toroidal algebra
    Negut, Andrei
    KYOTO JOURNAL OF MATHEMATICS, 2023, 63 (01) : 23 - 49
  • [10] Twisted Quantum Toroidal Algebras Tq-(g)
    Jing, Naihuan
    Liu, Rongjia
    LETTERS IN MATHEMATICAL PHYSICS, 2014, 104 (09) : 1137 - 1145